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117211640 = 23571322477
BaseRepresentation
bin1101111110010…
…00000111111000
322011112222010212
412333020013320
5220001233030
615344130252
72622165620
oct677100770
9264488125
10117211640
1160187927
1233306988
131b38ba00
14117d1880
15a454595
hex6fc81f8

117211640 has 96 divisors (see below), whose sum is σ = 326501280. Its totient is φ = 37080576.

The previous prime is 117211621. The next prime is 117211643. The reversal of 117211640 is 46112711.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117211643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46082 + ... + 48558.

It is an arithmetic number, because the mean of its divisors is an integer number (3401055).

Almost surely, 2117211640 is an apocalyptic number.

117211640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117211640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163250640).

117211640 is an abundant number, since it is smaller than the sum of its proper divisors (209289640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

117211640 is a wasteful number, since it uses less digits than its factorization.

117211640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2521 (or 2504 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 117211640 is about 10826.4324687313. The cubic root of 117211640 is about 489.3920545831.

The spelling of 117211640 in words is "one hundred seventeen million, two hundred eleven thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 169 182 260 280 338 364 455 520 676 728 845 910 1183 1352 1690 1820 2366 2477 3380 3640 4732 4954 5915 6760 9464 9908 11830 12385 17339 19816 23660 24770 32201 34678 47320 49540 64402 69356 86695 99080 128804 138712 161005 173390 225407 257608 322010 346780 418613 450814 644020 693560 837226 901628 1127035 1288040 1674452 1803256 2093065 2254070 2930291 3348904 4186130 4508140 5860582 8372260 9016280 11721164 14651455 16744520 23442328 29302910 58605820 117211640